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Finding the Fourth Proportional to 115,244.58, 158,675.62 and 97,983

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Solution

The fourth proportional to 115,244.58, 158,675.62 and 97,983 is: 134,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,244.58 : 158,675.62 = 97,983 : x
  2. Step 2: Convert to fraction form
    115,244.58/158,675.62 = 97,983/x
  3. Step 3: Cross multiply
    115,244.58x = 158,675.62 × 97,983
  4. Step 4: Simplify right side
    115,244.58x = 15,547,513,274.46
  5. Step 5: Solve for x
    x = 15,547,513,274.46/115,244.58
  6. Step 6: Final answer
    x = 134,908.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.